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133116 = 22311093
BaseRepresentation
bin100000011111111100
320202121020
4200133330
513224431
62504140
71063044
oct403774
9222536
10133116
1191015
1265050
1348789
1436724
1529696
hex207fc

133116 has 12 divisors (see below), whose sum is σ = 310632. Its totient is φ = 44368.

The previous prime is 133109. The next prime is 133117. The reversal of 133116 is 611331.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133095 and 133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5535 + ... + 5558.

It is an arithmetic number, because the mean of its divisors is an integer number (25886).

2133116 is an apocalyptic number.

It is an amenable number.

133116 is an abundant number, since it is smaller than the sum of its proper divisors (177516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133116 is a wasteful number, since it uses less digits than its factorization.

133116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100 (or 11098 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 133116 is about 364.8506543779. The cubic root of 133116 is about 51.0595229671.

Adding to 133116 its reverse (611331), we get a palindrome (744447).

The spelling of 133116 in words is "one hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 11093 22186 33279 44372 66558 133116